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Finding the Fourth Proportional to 6,792, 9,369.77 and 4,803.66

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Solution

The fourth proportional to 6,792, 9,369.77 and 4,803.66 is: 6,626.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,792 : 9,369.77 = 4,803.66 : x
  2. Step 2: Convert to fraction form
    6,792/9,369.77 = 4,803.66/x
  3. Step 3: Cross multiply
    6,792x = 9,369.77 × 4,803.66
  4. Step 4: Simplify right side
    6,792x = 45,009,165.34
  5. Step 5: Solve for x
    x = 45,009,165.34/6,792
  6. Step 6: Final answer
    x = 6,626.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.